{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:28:45Z","timestamp":1747189725000,"version":"3.40.5"},"reference-count":23,"publisher":"World Scientific Pub Co Pte Ltd","issue":"09","funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["1751975"],"award-info":[{"award-number":["1751975"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2021,7]]},"abstract":"<jats:p> Giving customers queue length information about a service system has the potential to influence the decision of a customer to join a queue. Thus, it is imperative for managers of queueing systems to understand how the information that they provide will affect the performance of the system. To this end, we construct and analyze a two-dimensional deterministic fluid model that incorporates customer choice behavior based on delayed queue length information. Reports in the existing literature always assume that all queues have identical parameters and the underlying dynamical system is symmetric. However, in this paper, we relax this symmetry assumption by allowing the arrival rates, service rates, and the choice model parameters to be different for each queue. Our methodology exploits the method of multiple scales and asymptotic analysis to understand how to break the symmetry. We find that the asymmetry can have a large impact on the underlying dynamics of the queueing system. <\/jats:p>","DOI":"10.1142\/s0218127421300275","type":"journal-article","created":{"date-parts":[[2021,7,27]],"date-time":"2021-07-27T02:33:06Z","timestamp":1627353186000},"page":"2130027","source":"Crossref","is-referenced-by-count":4,"title":["Breaking the Symmetry in Queues with Delayed Information"],"prefix":"10.1142","volume":"31","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9039-7966","authenticated-orcid":false,"given":"Philip","family":"Doldo","sequence":"first","affiliation":[{"name":"Center for Applied Mathematics, Cornell University, 657 Rhodes Hall, Ithaca, New York 14853, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jamol","family":"Pender","sequence":"additional","affiliation":[{"name":"School of Operations Research and Information Engineering, Center for Applied Mathematics, Cornell University, 228 Rhodes Hall, Ithaca, New York 14853, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Richard","family":"Rand","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Sibley School of Mechanical and Aerospace Engineering, Cornell University, 417 Upson Hall, Ithaca, New York 14853, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,7,26]]},"reference":[{"key":"S0218127421300275BIB001","doi-asserted-by":"publisher","DOI":"10.1287\/opre.1110.0972"},{"key":"S0218127421300275BIB002","doi-asserted-by":"publisher","DOI":"10.1287\/opre.1110.0976"},{"key":"S0218127421300275BIB003","doi-asserted-by":"publisher","DOI":"10.1287\/opre.1030.0088"},{"key":"S0218127421300275BIB004","doi-asserted-by":"publisher","DOI":"10.1287\/opre.1080.0533"},{"key":"S0218127421300275BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-5203-1_2"},{"key":"S0218127421300275BIB006","doi-asserted-by":"publisher","DOI":"10.1287\/stsy.2018.0014"},{"key":"S0218127421300275BIB007","doi-asserted-by":"publisher","DOI":"10.1017\/apr.2019.11"},{"key":"S0218127421300275BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/s11134-019-09603-4"},{"key":"S0218127421300275BIB009","doi-asserted-by":"publisher","DOI":"10.1007\/s11134-008-9100-y"},{"key":"S0218127421300275BIB010","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.1060.0686"},{"key":"S0218127421300275BIB011","doi-asserted-by":"publisher","DOI":"10.1017\/S0269964809000254"},{"key":"S0218127421300275BIB012","doi-asserted-by":"publisher","DOI":"10.1017\/S0269964807000022"},{"key":"S0218127421300275BIB013","doi-asserted-by":"publisher","DOI":"10.2307\/3212203"},{"key":"S0218127421300275BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2008.01.011"},{"key":"S0218127421300275BIB015","doi-asserted-by":"publisher","DOI":"10.1287\/msom.1110.0339"},{"key":"S0218127421300275BIB016","doi-asserted-by":"publisher","DOI":"10.1109\/WSC.2018.8632436"},{"key":"S0218127421300275BIB017","doi-asserted-by":"publisher","DOI":"10.1137\/18M1170637"},{"key":"S0218127421300275BIB018","doi-asserted-by":"publisher","DOI":"10.1007\/s11134-020-09657-9"},{"key":"S0218127421300275BIB019","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127417300166"},{"key":"S0218127421300275BIB020","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-017-4021-0"},{"key":"S0218127421300275BIB021","doi-asserted-by":"publisher","DOI":"10.1287\/moor.2019.1024"},{"key":"S0218127421300275BIB022","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511805271"},{"key":"S0218127421300275BIB023","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.45.2.192"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127421300275","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,27]],"date-time":"2021-07-27T02:35:08Z","timestamp":1627353308000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127421300275"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7]]},"references-count":23,"journal-issue":{"issue":"09","published-print":{"date-parts":[[2021,7]]}},"alternative-id":["10.1142\/S0218127421300275"],"URL":"https:\/\/doi.org\/10.1142\/s0218127421300275","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2021,7]]}}}